Lecture 1: Eulerian and Lagrangian representations of a fluid.

Fluid as a moving continuum. Validity of the continuum approximation.

Kinematics, the velocity field. Eulerian representation of fields. Lagrangian coordinates.

Streamlines, path lines, and streak lines. The material derivative as

a time derivative following a Lagrangian particle. Example: The oscillating vortex.This example may be studied in
MATLAB using the m-files vortex.m and lagvort.m.

Suggested reading: